Examples of leading term cycles of Harish-Chandra modules
L. Barchini, R. Zierau
TL;DR
This paper presents examples of irreducible Harish-Chandra modules and category O modules in type C with reducible leading term cycles and associated varieties, highlighting complex geometric structures.
Contribution
It provides explicit examples of reducible leading term cycles and associated varieties in type C, illustrating intricate geometric phenomena in representation theory.
Findings
Irreducible Harish-Chandra modules with reducible leading term cycles
Irreducible modules in category O with reducible associated varieties
Examples demonstrating complex geometric structures in type C
Abstract
Many examples are given of irreducible Harish-Chandra modules for type C having reducible leading term cycles. Examples are also given of irreducibles in category O having reducible associated varieties in type C.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Topics in Algebra